Let   A = {m ∈Z| m=3r-1 for some integer r} and B = {n ∈Z| n=3s+2 for some integer s} and C = {p ∈Z| p=6t+2 for some integer p} Select ALL the correct answers. Group of answer choices a)C is a proper subset of B b)A is a subset of B c)B = C d)A = C e)C is a subset of A f)A = B

Q: Write in listing or roster form. N = ( x|x is a positive integer and is a divisor of 18) Choices:…

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Q: . If n(A) = 15, n(B2)= 20, and n(A ∩ B) = 10,find n(A ∪ B)

A: Given: nA=15, nB=20, nA∩B=10

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

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Q: Let A= {1, 2, 3, 4, 5} and B = {∅}. Find A ∪ B.

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Q: Let the set B={−23,−16,−7,−2,20,36,48,72}. How many ways are there to choose a positive or an odd…

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Q: Show that A ∪ B = A ∩ B implies A = B

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Q: d) Give a recursive definition of the sequence {a„}, n = 1, 2, 3... %3D n if a,= 2 + 1; and a15 e)…

A: d)  Here, given that an=2+1=3 So, for all n, an=3 which is the recursive definition.

Q: 4. a) Find (123, 456) and find integers x and y such that 123x + 456y = (123,456).

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Q: Use the laws of the Algebra of Sets to Simplify each of the following: a. (P V Q) ^~ P b. PV (PAQ)…

A: The important laws of algebra used for simplifying the expressions are as follows. Distributive…

Q: If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M).…

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Q: a) Let A = {4, 7, 8} and B = {−1, 5}, Find and compare sup(A+B) , inf(A+B), sup(A)+sup(B),sup A -…

A: See the attachment

Q: For P (2, 8, 9, 15), Q (2, 7, 11), and R (3, 7, 8, 11), find PU (an R). CITE Select the correct…

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Q: Let A be the set of all positive integers whose last two digits form a number that is evenly…

A: We have the given condition as   Let us consider A be the set of all positive integers whose last…

Q: Let AAB denote the symmetric difference of the setsA,B. Suppose that A = {1,2,3,4} and B= {2,4,6,8}.…

A: Symmetric difference means elements which are in either of the sets but not both.  Thus, symmetric…

Q: Let A be the set of integers bigger than 3 and smaller than 10 and B the set of positive integers…

A: Solution-Let A be the set of integers bigger than 3 and smaller than 10.A={4,5,6,7,8,9}

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

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Q: Find the sets A and B if A − B = {1, 4, 7, 11}, B − A ={2, 20}, and A ∩ B = {3, 5 ,19}

A: Set Question

Q: Let X= {p, q, r, 15, 16, 17}, Y ={q, s, t, 15, 17, 19}, and Z= {q, s, 16, 17, 19}. List the members…

A: let X={p,q,r,15,16,17}   Y={q,s,t,15,17,19} Z={q,s,16,17,19} find member of X∪(Y∩Z)=?D

Q: Let A = {0, 1,6, 8, 13} and B = {1, 6, 13}. How many sets C have the property that CCA and BCC.

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Q: Let A = {a, b, c, d}. Find the number of 3-combinations of A where repetition of symbols is allowed.

A: We have to count the number of 3-combinations with repetition allowed, we can use the concept of…

Q: Which of the answers below is the ordering of these running times from fastest to slowest? a)…

A: We have to arrange the following sequences in order from fastest running times to slowest. (a)…

Q: Let R(m, n) be the predicate “If m is a factor of n2 then m is a factor of n,” with domain for both…

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Q: Find the sets A and B if A − B = {1, 5, 7, 8}, B − A = {2, 10}, and A ∩ B = {3, 6, 9}.

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Q: Let A = {1, 5, 9} and B = {1, 2, 4, 7}. Determine the set A × B

A: Given that Let A = {1, 5, 9} and B = {1, 2, 4, 7}. To determine Determine the set A × B

Q: If the set A has 3 elements and the set B = {3, 4, 5}, then find the number ofelements in (A×B).

A: Given that n(A)=3 From B = {3, 4, 5} we see that n(B)=3

Q: Let A = {-9, -7, -6, -4, -3, 1, 3, 4, 8, 10} and B = {-7, -6, -4, 1, 4, 8, 10}. How many sets of C…

A: Given that C has a property thatfrom the second condition we can conclude that all the elements of B…